Extensions 1→N→G→Q→1 with N=C3 and Q=C4xD20

Direct product G=NxQ with N=C3 and Q=C4xD20
dρLabelID
C12xD20240C12xD20480,666

Semidirect products G=N:Q with N=C3 and Q=C4xD20
extensionφ:Q→Aut NdρLabelID
C3:1(C4xD20) = D60:14C4φ: C4xD20/C4:Dic5C2 ⊆ Aut C3240C3:1(C4xD20)480,504
C3:2(C4xD20) = Dic3:4D20φ: C4xD20/D10:C4C2 ⊆ Aut C3240C3:2(C4xD20)480,471
C3:3(C4xD20) = C4xD60φ: C4xD20/C4xC20C2 ⊆ Aut C3240C3:3(C4xD20)480,838
C3:4(C4xD20) = C4xC3:D20φ: C4xD20/C2xC4xD5C2 ⊆ Aut C3240C3:4(C4xD20)480,519
C3:5(C4xD20) = Dic3xD20φ: C4xD20/C2xD20C2 ⊆ Aut C3240C3:5(C4xD20)480,501


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